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本文研究了拓广型星体的对偶Minkowski不等式.利用星体族的径向乘法、径向幂运算和多元型对偶混合体积的概念和积分的方法,得到了对偶Minkowski不等式的多元抽象形式,并将所得结果应用到积分几何学,得到了一个正数列非任意凸体的弦幂积分列的判定条件. 相似文献
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This paper provides a method using fixed-point theory for the reconstruction of the triangle inscribed in convex bodies from X-ray functions in three arbitrary mutual directions. 相似文献
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Two new concepts, the generalized support function and restricted chord function, both referring to a convex set, were introduced in [1]. General formulae to yield the kinematic measure of a segment of fixed length in a convex set were established based on these concepts. In this article , using the partial intersection method, we consider the generalized Buffon problem for three kinds of lattices. We determine the probability of intersection of a body test needle of length l, l < a. 相似文献
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